10a^5+141a^3b^2+14ab^4=0

Simple and best practice solution for 10a^5+141a^3b^2+14ab^4=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 10a^5+141a^3b^2+14ab^4=0 equation: 


Simplifying
10a5 + 141a3b2 + 14ab4 = 0

Reorder the terms:
14ab4 + 141a3b2 + 10a5 = 0

Solving
14ab4 + 141a3b2 + 10a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(14b4 + 141a2b2 + 10a4) = 0

Factor a trinomial.
a((14b2 + a2)(b2 + 10a2)) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0

Subproblem 2
Set the factor '(14b2 + a2)' equal to zero and attempt to solve:

Simplifying
14b2 + a2 = 0

Reorder the terms:
a2 + 14b2 = 0

Solving
a2 + 14b2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-14b2' to each side of the equation.
a2 + 14b2 + -14b2 = 0 + -14b2

Combine like terms: 14b2 + -14b2 = 0
a2 + 0 = 0 + -14b2
a2 = 0 + -14b2
Remove the zero:
a2 = -14b2

Simplifying
a2 = -14b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(b2 + 10a2)' equal to zero and attempt to solve:

Simplifying
b2 + 10a2 = 0

Reorder the terms:
10a2 + b2 = 0

Solving
10a2 + b2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1b2' to each side of the equation.
10a2 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
10a2 + 0 = 0 + -1b2
10a2 = 0 + -1b2
Remove the zero:
10a2 = -1b2

Divide each side by '10'.
a2 = -0.1b2

Simplifying
a2 = -0.1b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

See similar equations:

| a^2-93=204 | | 6x-7-8=3x | | 2x^2y^2+17xy+1=0 | | 5(y+4)=54 | | a^3-81a^2-4a+324= | | 73+p^2=52 | | 5(-3+4x)=-15 | | 5t^4-6t^2-27=0 | | 17-3(x+5)=5 | | 12q-15=.3(2q+3) | | 27a^2b^2+42ab+8=0 | | 13=3-2x | | 9v^3-16v= | | -4(8-4x)+5(6-5x)+2=-108+36 | | -90x^2+95x-5=0 | | -3(x+3)+4(6x+1)=43 | | 475+25n=725 | | -4(5x-6)=12 | | -7x^2+13x+2=0 | | C=45(122-32) | | 4(0.8+1.5)=2(3+1.6g) | | 5w^2-5f^2= | | 20x^2y^2-23xy+6=0 | | 16x^4-24x^3+9x^2=0 | | 2.3s-1.2s= | | m-10=7 | | x+8/2=21 | | 3=-m | | 400-4x=92 | | -15x^2+44x-21=0 | | 5p+1=21 | | 49=-1(a-4)-8(-4a+6) |

Equations solver categories